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Finding the Fourth Proportional to 864.30, 1,296.81 and 690.78

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Solution

The fourth proportional to 864.30, 1,296.81 and 690.78 is: 1,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.30 : 1,296.81 = 690.78 : x
  2. Step 2: Convert to fraction form
    864.30/1,296.81 = 690.78/x
  3. Step 3: Cross multiply
    864.30x = 1,296.81 × 690.78
  4. Step 4: Simplify right side
    864.30x = 895,810.41
  5. Step 5: Solve for x
    x = 895,810.41/864.30
  6. Step 6: Final answer
    x = 1,036.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.